43.0 m above level ground at the bottom A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 17.5 m/s. The rock leaves his hand at a height of h of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) Yo (b) What are the components of the initial velocity? (Enter your answers in m/s.) m/s Vox m/s Voy Vx (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s and t is in seconds. Do not include units in your answers.) m/s %D m/s Vy (d) Write the equations for the position of the rock with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in your answers.) х 3 (e) How long (in s) after being released does the rock strike the ground below the cliff? (f) With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land? m/s Vf ° clockwise from the +X-axis ө %3D
43.0 m above level ground at the bottom A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 17.5 m/s. The rock leaves his hand at a height of h of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) Yo (b) What are the components of the initial velocity? (Enter your answers in m/s.) m/s Vox m/s Voy Vx (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s and t is in seconds. Do not include units in your answers.) m/s %D m/s Vy (d) Write the equations for the position of the rock with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in your answers.) х 3 (e) How long (in s) after being released does the rock strike the ground below the cliff? (f) With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land? m/s Vf ° clockwise from the +X-axis ө %3D
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section3.3: Projectile Motion
Problem 3.2QQ: (i) As a projectile thrown upward moves in its parabolic path (such as in Fig. 3.8), at what point...
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![43.0 m above level ground at the bottom
A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 17.5 m/s. The rock leaves his hand at a height of h
of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand.
(a) What are the coordinates of the initial position of the rock? (Enter your answers in m.)
Yo
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
m/s
Vox
m/s
Voy
Vx
(c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s and t is in seconds. Do not include
units in your answers.)
m/s
%D
m/s
Vy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2505cf1f-a44a-450e-9bcb-764ebc4918c1%2Fae0f0c25-3fed-498a-b8b1-57f40ddbea1e%2Fh1vjnxu.png&w=3840&q=75)
Transcribed Image Text:43.0 m above level ground at the bottom
A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of vo = 17.5 m/s. The rock leaves his hand at a height of h
of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand.
(a) What are the coordinates of the initial position of the rock? (Enter your answers in m.)
Yo
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
m/s
Vox
m/s
Voy
Vx
(c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that v, and v, are in m/s and t is in seconds. Do not include
units in your answers.)
m/s
%D
m/s
Vy
![(d) Write the equations for the position of the rock with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not
include units in your answers.)
х 3
(e) How long (in s) after being released does the rock strike the ground below the cliff?
(f)
With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land?
m/s
Vf
° clockwise from the +X-axis
ө
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2505cf1f-a44a-450e-9bcb-764ebc4918c1%2Fae0f0c25-3fed-498a-b8b1-57f40ddbea1e%2Fcpondgn.png&w=3840&q=75)
Transcribed Image Text:(d) Write the equations for the position of the rock with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not
include units in your answers.)
х 3
(e) How long (in s) after being released does the rock strike the ground below the cliff?
(f)
With what speed (in m/s) and angle of impact (in degrees clockwise from the +x-axis) does the rock land?
m/s
Vf
° clockwise from the +X-axis
ө
%3D
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